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Finding the Fourth Proportional to 30,174.85, 41,641.31 and 16,746.11

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Solution

The fourth proportional to 30,174.85, 41,641.31 and 16,746.11 is: 23,109.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,174.85 : 41,641.31 = 16,746.11 : x
  2. Step 2: Convert to fraction form
    30,174.85/41,641.31 = 16,746.11/x
  3. Step 3: Cross multiply
    30,174.85x = 41,641.31 × 16,746.11
  4. Step 4: Simplify right side
    30,174.85x = 697,330,103.77
  5. Step 5: Solve for x
    x = 697,330,103.77/30,174.85
  6. Step 6: Final answer
    x = 23,109.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.